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What is a fraction?

📐 MathsSimple🌐 English~1 min
What is a fraction?
▶ Watch it taught live Opens the whiteboard: the tutor draws and talks through this lesson, and you can ask questions.

Transcript

Ever shared a pizza with your friends?

What is a fraction? Explain for class 3
AI illustration (FLUX.2 on Cloudflare)

Imagine one yummy pizza, a chocolate bar, and an apple. Each one is a whole thing.

One whole pizza
One whole pizza · AI illustration (FLUX.2 on Cloudflare)
One whole bar
One whole bar · AI illustration (FLUX.2 on Cloudflare)
One whole apple
One whole apple · AI illustration (FLUX.2 on Cloudflare)

Now cut the pizza into equal pieces. Each piece is a part of the whole. A fraction tells us how many parts we are talking about, out of all the equal parts. Sharing is where fractions come alive. Look at these friends sharing food equally.

  • Fraction = part of a whole
Two friends, two halves
Two friends, two halves · AI illustration (FLUX.2 on Cloudflare)
Four friends, four parts
Four friends, four parts · AI illustration (FLUX.2 on Cloudflare)
Equal pieces
Equal pieces · AI illustration (FLUX.2 on Cloudflare)

The pieces must be equal. If one piece is huge and one is tiny, it is not a fair fraction.

  • Parts must be equal!
Diagram Equal parts · Unequal parts

Let us look at three out of four slices. A fraction has two numbers.

\frac{3}{4}

The bottom number is the denominator. It tells how many equal parts make the whole. The top number is the numerator. It tells how many parts we take. A bar can show fractions too. Here is one half, two equal parts, and we take one.

  • Bottom: parts in the whole
  • Top: parts we take
\frac{1}{2}

Fractions are everywhere: half a glass of milk, a quarter of an hour, one slice of cake.

Half a glass
Half a glass · AI illustration (FLUX.2 on Cloudflare)
One slice of cake
One slice of cake · AI illustration (FLUX.2 on Cloudflare)
Orange segments
Orange segments · AI illustration (FLUX.2 on Cloudflare)

A quarter of an hour is fifteen minutes. See the clock face show a quarter. Now let us count. Here is a bigger whole cut into eight equal parts, and five are coloured.

\frac{5}{8}

Time to check. Look at the picture and think about the top and bottom numbers. A fraction shows equal parts of a whole: the top counts parts we take, the bottom counts all equal parts.

\frac{\text{parts we take}}{\text{all equal parts}}

Quick quiz

Q1. 2 of 3 equal slices are coloured. Which fraction is it?

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